Question

The mean proportional of the trems 18 and 72 is?

Answer 1

Let the mean proportion of 18 and 72 = x

So 18:x = x:72

$\frac{18}{x} = \frac{x}{72} \\ \\ by \: cross \: multiplication \\ \\ 18 \times 72 = x \times x \\ \\ {x}^{2} = 18 \times 72 \\ \\ x = \sqrt{18 \times 72} = \sqrt{18 \times 18 \times 2 \times 2} \\ \\ x = 18 \times 2 \\ \\ x = 36$
mean proportion is 36.

Answer 2

Let , the mean proportional of 18 and 72 be x.

Now, 18:x::x:72

18 / x =x / 72

by cross multiplication

${x}^2$ =18×72
x = $\sqrt{1368}$
x = 36

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